Q11 - Not surprisingly, there are no

[YLAGUNAS]

how do you diagram this question? the "somes" are throwing me off in the conclusion. thank you!

[ohthatpatrick]

Good question.

As you may know, you can't diagram a Some or Most statement. Only All or None statements can be turned into conditional logic.

Whenever you see "No A are B" you can translate that as "All A are ~B"

So,
Prof --> 18+
under 18 --> ~Prof

under 18 --> ~Vote
Vote --> 18+

At this point, after having been given two conditional statements, I would pause and ask myself, "Do these chain together?"

They do not. If you're under 18, I know 2 things about you (you're not a Prof and you can't vote), but that's not a chain.

When we get to the Some statements at the end we can just write them as facts.

Some brilliant = prof
Some brilliant = voters
Some brilliant = under 18

But we want to use the conditionals to add on anything else we know about each of those people.

Some brilliant = prof, 18+
Some brilliant = voters, 18+
Some brilliant = under 18, ~prof, ~voter

To the answers we go!
A) It said Professors can't be UNDER 18, but they could be 18.
B) There's no way to prove anything about ALL brilliant people, when we only got info about SOME brilliant people.
C) There's no way to link voters to professors (since those 2 conditionals didn't chain together)
D) We didn't get any info about people who were NOT brilliant.
E) Yup! This is our last line of inferences. Since some brilliant ppl are under 18, we know some brilliant people aren't professors and aren't voters.

Hope this helps.